In diffeomorphism-invariant models, invariant content requires spatiotemporal structures beyond correlations, as correlations are invariant only in a generalized non-smooth sense and spatiotemporal relations are also invariant.
GPS observables in general relativity
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abstract
I present a complete set of gauge invariant observables, in the context of general relativity coupled with a minimal amount of realistic matter (four particles). These observables have a straightforward and realistic physical interpretation. In fact, the technology to measure them is realized by the Global Positioning System: they are defined by the physical reference system determined by GPS readings. The components of the metric tensor in this physical reference system are gauge invariant quantities and, remarkably, their evolution equations are local.
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gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Diffeomorphism-Invariant Quantities in Phase Space: More than Correlations
In diffeomorphism-invariant models, invariant content requires spatiotemporal structures beyond correlations, as correlations are invariant only in a generalized non-smooth sense and spatiotemporal relations are also invariant.